# Manuals/calci/FRIEDMANTEST

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**FRIEDMANTEST (SampleDataByGroup,ConfidenceLevel,NewTableFlag)**

- is the array of values to find the test statistic.
- is the value between 0 and 1.
- is either TRUE or FALSE.

## Description

- This function gives the Test statistic summary of FriedMan Test.
- Friedman's test is a nonparametric test that compares three or more paired groups.
- It is the alternative to ANOVA with repeated measures.
- It is used to test for differences between groups when the dependent variable being measured is ordinal.
- It can also be used for continuous data that has violated the assumptions necessary to run the one-way ANOVA with repeated measures.
- This test is simelar to the Kruskal Wallis test.
- The data of the Fried Man test having the following assumptions:
- 1. One group that is measured on three or more different occasions.
- 2.Group is a random sample from the population.
- 3.The dependent variable should be measured at the ordinal or continuous level.
- 4.Samples do not need to be normally distributed.
**Steps for Fried man Test**:- 1.Define Null and Alternative Hypotheses:Null Hypotheses:There is no difference between the conditions.Alternative Hypotheses:There is a difference between the conditions.
- 2.State Alpha:Alpha=0.05.
- 3.Calculate degrees of freedom:df = k – 1, where k = number of groups.
- 4.State Decision Rule:From the Chi squared table calculate the critical value.
- Suppose the chisquared(symbol)is greater than the critical value then reject the null hypothesis
- 5.Calculate the Test Statistic:
- k = number of columns (often called “treatments”)
- n = number of rows (often called “blocks”)
- Rj = sum of the ranks in column j.
- If there is no significant difference between the sum of the ranks of each of the columns, then M will be small, but if at least one column shows significant difference then M will be larger.
- 6.State Results:In this step we have to take a decision of null hypothesis either accept or reject depending on the critical value table.
- 7.State Conclusion:To be significant, our obtained U has to be equal to or LESS than this

critical value.

## Example

White | Red | Rose |

10 | 7 | 8 |

8 | 5 | 5 |

7 | 8 | 6 |

9 | 6 | 4 |

7 | 5 | 7 |

4 | 7 | 5 |

5 | 9 | 3 |

6 | 6 | 7 |

5 | 4 | 6 |

10 | 6 | 4 |

4 | 7 | 4 |

7 | 3 | 3 |

- =FRIEDMANTEST(A1:C13,0.05,TRUE)

White | Red | Rose |
---|---|---|

3 | 1 | 2 |

3 | 1.5 | 1.5 |

2 | 3 | 1 |

3 | 2 | 1 |

2.5 | 1 | 2.5 |

1 | 3 | 2 |

2 | 3 | 1 |

1.5 | 1.5 | 3 |

2 | 1 | 3 |

3 | 2 | 1 |

1.5 | 3 | 1.5 |

3 | 1.5 | 1.5 |

ANALYSIS | |||
---|---|---|---|

White | Red | Rose | |

Sum Of Ranks | 27.5 | 23.5 | 21 |

SS | 756.25 | 552.25 | 441 |

Qr | 1.7916666666666572 | ||

df | 2 | ||

AsymSig | 0.4082672341468858 |

## Related Videos

## See Also

## References